{"id":"https://openalex.org/W1967336770","doi":"https://doi.org/10.1137/s0097539703435728","title":"Novel Transformation Techniques Using Q-Heaps with Applications to Computational Geometry","display_name":"Novel Transformation Techniques Using Q-Heaps with Applications to Computational Geometry","publication_year":2005,"publication_date":"2005-01-01","ids":{"openalex":"https://openalex.org/W1967336770","doi":"https://doi.org/10.1137/s0097539703435728","mag":"1967336770"},"language":"en","primary_location":{"id":"doi:10.1137/s0097539703435728","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0097539703435728","pdf_url":null,"source":{"id":"https://openalex.org/S153560523","display_name":"SIAM Journal on Computing","issn_l":"0097-5397","issn":["0097-5397","1095-7111"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Computing","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5053996253","display_name":"Qingmin Shi","orcid":null},"institutions":[{"id":"https://openalex.org/I66946132","display_name":"University of Maryland, College Park","ror":"https://ror.org/047s2c258","country_code":"US","type":"education","lineage":["https://openalex.org/I66946132"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Qingmin Shi","raw_affiliation_strings":["Institute for Advanced Computer Studies, Department of Electrical and Computer Engineering, University of Maryland, College Park, MD 20742"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute for Advanced Computer Studies, Department of Electrical and Computer Engineering, University of Maryland, College Park, MD 20742","institution_ids":["https://openalex.org/I66946132"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5085648933","display_name":"Joseph F. J\u00e1J\u00e1","orcid":"https://orcid.org/0000-0002-8620-5650"},"institutions":[{"id":"https://openalex.org/I66946132","display_name":"University of Maryland, College Park","ror":"https://ror.org/047s2c258","country_code":"US","type":"education","lineage":["https://openalex.org/I66946132"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Joseph JaJa","raw_affiliation_strings":["Institute for Advanced Computer Studies, Department of Electrical and Computer Engineering, University of Maryland, College Park, MD 20742"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute for Advanced Computer Studies, Department of Electrical and Computer Engineering, University of Maryland, College Park, MD 20742","institution_ids":["https://openalex.org/I66946132"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.3794,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.70655322,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":95},"biblio":{"volume":"34","issue":"6","first_page":"1474","last_page":"1492"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9988999962806702,"subfield":{"id":"https://openalex.org/subfields/1704","display_name":"Computer Graphics and Computer-Aided Design"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9988999962806702,"subfield":{"id":"https://openalex.org/subfields/1704","display_name":"Computer Graphics and Computer-Aided Design"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11106","display_name":"Data Management and Algorithms","score":0.9977999925613403,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10481","display_name":"Computer Graphics and Visualization Techniques","score":0.9861000180244446,"subfield":{"id":"https://openalex.org/subfields/1704","display_name":"Computer Graphics and Computer-Aided Design"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/computational-geometry","display_name":"Computational geometry","score":0.5771421194076538},{"id":"https://openalex.org/keywords/transformation","display_name":"Transformation (genetics)","score":0.5425191521644592},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.46766865253448486},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.45965972542762756},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4121195077896118},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3392420709133148},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3372237980365753},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.32785677909851074},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3226481080055237},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.17619475722312927}],"concepts":[{"id":"https://openalex.org/C29123130","wikidata":"https://www.wikidata.org/wiki/Q874709","display_name":"Computational geometry","level":2,"score":0.5771421194076538},{"id":"https://openalex.org/C204241405","wikidata":"https://www.wikidata.org/wiki/Q461499","display_name":"Transformation (genetics)","level":3,"score":0.5425191521644592},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.46766865253448486},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.45965972542762756},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4121195077896118},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3392420709133148},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3372237980365753},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.32785677909851074},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3226481080055237},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.17619475722312927},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/s0097539703435728","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0097539703435728","pdf_url":null,"source":{"id":"https://openalex.org/S153560523","display_name":"SIAM Journal on Computing","issn_l":"0097-5397","issn":["0097-5397","1095-7111"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Computing","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.135.8762","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.135.8762","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.umiacs.umd.edu/~joseph/ffc-crc.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/11","display_name":"Sustainable cities and communities","score":0.550000011920929}],"awards":[{"id":"https://openalex.org/G6217980590","display_name":"A LANDCOVER EARTH SCIENCE INFORMATION PARTNERSHIP","funder_award_id":"NCC5300","funder_id":"https://openalex.org/F4320306101","funder_display_name":"National Aeronautics and Space Administration"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320306101","display_name":"National Aeronautics and Space Administration","ror":"https://ror.org/027ka1x80"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":33,"referenced_works":["https://openalex.org/W25426087","https://openalex.org/W155342555","https://openalex.org/W1594991445","https://openalex.org/W1889224378","https://openalex.org/W1971550377","https://openalex.org/W1979109797","https://openalex.org/W1982180670","https://openalex.org/W1987225278","https://openalex.org/W2004474036","https://openalex.org/W2005417374","https://openalex.org/W2011297770","https://openalex.org/W2011774530","https://openalex.org/W2011999472","https://openalex.org/W2029814178","https://openalex.org/W2032605149","https://openalex.org/W2041550253","https://openalex.org/W2060246981","https://openalex.org/W2070104759","https://openalex.org/W2074286662","https://openalex.org/W2077950479","https://openalex.org/W2085088576","https://openalex.org/W2093120238","https://openalex.org/W2099844038","https://openalex.org/W2103913570","https://openalex.org/W2126876121","https://openalex.org/W2132026455","https://openalex.org/W2134165468","https://openalex.org/W2136963423","https://openalex.org/W2137120608","https://openalex.org/W2142753649","https://openalex.org/W2164485560","https://openalex.org/W2165558283","https://openalex.org/W4231502736"],"related_works":["https://openalex.org/W2353644209","https://openalex.org/W2593663830","https://openalex.org/W2348743188","https://openalex.org/W4387423451","https://openalex.org/W2902317490","https://openalex.org/W2740851372","https://openalex.org/W2165852999","https://openalex.org/W2154461127","https://openalex.org/W598462635","https://openalex.org/W137454273"],"abstract_inverted_index":{"Using":[0],"the":[1,56,59,76,84,88,96,101],"notions":[2],"of":[3,22,61,79],"Q-heaps":[4],"and":[5,11,47,116],"fusion":[6],"trees":[7,54],"developed":[8],"by":[9,66],"Fredman":[10],"Willard,":[12],"we":[13,36],"develop":[14,37],"general":[15],"transformation":[16],"techniques":[17,98],"to":[18,26,99],"reduce":[19],"a":[20,38],"number":[21],"computational":[23],"geometry":[24],"problems":[25],"their":[27],"special":[28],"versions":[29],"in":[30,55,83,93],"partially":[31],"ranked":[32],"spaces.":[33],"In":[34],"particular,":[35],"fast":[39,89],"fractional":[40,90],"cascading":[41,91],"technique,":[42],"which":[43],"uses":[44],"linear":[45],"space":[46],"enables":[48],"sublogarithmic":[49,104],"iterative":[50],"search":[51],"on":[52],"catalog":[53],"case":[57],"when":[58],"degree":[60],"each":[62],"node":[63],"is":[64,75],"bounded":[65],"$O(\\log^{\\epsilon}n)$":[67],"for":[68,107],"some":[69],"constant":[70],"$\\epsilon":[71],">0$,":[72],"where":[73],"n":[74],"total":[77],"size":[78],"allthe":[80],"lists":[81],"stored":[82],"tree.":[85],"We":[86],"apply":[87],"technique":[92],"combination":[94],"with":[95],"other":[97],"derive":[100],"first":[102],"linear-space":[103],"time":[105],"algorithms":[106],"two":[108],"fundamental":[109],"geometric":[110],"retrieval":[111],"problems:":[112],"orthogonal":[113],"segment":[114],"intersection":[115],"rectangular":[117],"point":[118],"enclosure.":[119]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
